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Rapidly increasing the proportion of installed wind power capacity with zero carbon emission characteristics will help adjust the energy structure and support the realization of carbon neutrality targets. The intermittency of wind resources and fluctuations in electricity demand has exacerbated the contradiction between power supply and demand. The time-of-use pricing and supply-side allocation of energy storage power stations will help “peak shaving and valley filling” and reduce the gap between power supply and demand. To this end, this paper constructs a decision-making model for the capacity investment of energy storage power stations under time-of-use pricing, which is intended to provide a reference for scientific decision-making on electricity prices and energy storage power station capacity.

Based on the research framework of time-of-use pricing, this paper constructs a profit-maximizing electricity price and capacity investment decision model of energy storage power station for flat pricing and time-of-use pricing respectively. In the process, this study considers the dual uncertain scenarios of intermittency of wind resources and random fluctuations in power demand.

(1) Investment in energy storage power stations is the optimal decision. Time-of-use pricing will reduce the optimal capacity of the energy storage power station. (2) The optimal capacity of the energy storage power station and optimal electricity price are related to factors such as the intermittency of wind resources, the unit investment cost, the price sensitivities of the demand, the proportion of time-of-use pricing and the thermal power price. (3) The carbon emission level is affected by the intermittency of wind resources, price sensitivities of the demand and the proportion of time-of-use pricing. Incentive policies can always reduce carbon emission levels.

This paper creatively introduced the research framework of time-of-use pricing into the capacity decision-making of energy storage power stations, and considering the influence of wind power intermittentness and power demand fluctuations, constructed the capacity investment decision model of energy storage power stations under different pricing methods, and compared the impact of pricing methods on optimal energy storage power station capacity and carbon emissions.

1. Electricity pricing and capacity of energy storage power stations in an uncertain electricity market.

2. Investment strategy of energy storage power stations on the supply side of wind power generators.

3. Impact of pricing method on the investment decisions of energy storage power stations.

4. Impact of pricing method, energy storage investment and incentive policies on carbon emissions.

5. A two-stage wind power supply chain including energy storage power stations.

Electricity pricing and capacity of energy storage power stations in an uncertain electricity market.

Investment strategy of energy storage power stations on the supply side of wind power generators.

Impact of pricing method on the investment decisions of energy storage power stations.

Impact of pricing method, energy storage investment and incentive policies on carbon emissions.

A two-stage wind power supply chain including energy storage power stations.

The purpose of this research is to provide a theoretical and practical theory and application that provides understanding and means to manage complex infrastructures.

In this research, complexity, nonlinear, noncontinuous effects and aleatoric and data unknowns are bypassed by directly addressing systems' responses. Graph theory, statistics and digital signal processing (DSP) tools are applied within a theoretical framework of the theory of faults (ToF). Motivational complex infrastructure systems (CISs) are difficult to model. Data are often missing or erroneous, changes are not well documented and processes are not well understood. On top of it, under complexity, stalwart analytical tools have limited predictive power. The aleatoric risk, such as rain and risk cascading from interconnected infrastructures, is unpredictable. Mitigation, response and recovery efforts are adversely affected.

The theory and application are presented and demonstrated by a step-by-step development of an application to a municipal drainage system. A database of faults is analyzed to produce system statistics, spatio-temporal morphology, behavior and traits. The gained understanding is compared to the physical system's design and to its modus operandi. Implications for design and maintenance are inferred; DSP tools to manage the system in real time are developed.

Sociological systems are interest driven. Some events are intentionally created and directed to the benefit and detriment of the opposing parties in a project. Those events may be explained and possibly predicted by understanding power plays, not power functions. For those events, sociological game theories provide better explanatory value than mathematical gain theories.

The theory provides a thematic network for modeling and resolving aleatoric uncertainty in engineering and sociological systems. The framework may be elaborated to fields such as energy, healthcare and critical infrastructure.

ToF provides a framework for the modeling and prediction of faults generated by inherent aleatoric uncertainties in social and technological systems. Therefore, the framework and theory lay the basis for automated monitoring and control of aleatoric uncertainties such as mechanical failures and human errors and the development of mitigation systems.

The contribution of this research is in the provision of an explicatory theory and a management paradigm for complex systems. This theory is applicable to a wide variety of fields from facilities and construction project management to maintenance and from academic studies to commercial use.

Drawing on power approach-inhibition theory, this study develops a conditional indirect effect model to explore how team vertical leader position and expert power indirectly impact members’ shared leadership through vertical leader’s empowering behaviors.

Multi-source data was collected using a field survey research design. The final sample includes 944 employees in 164 teams from 14 companies in China.

This study found that the interaction of team vertical leader position power and expert power was positively related to their empowering behaviors, which in turn were positively associated with shared leadership. Moreover, our post hoc-analysis revealed the moderating effect of team power distance orientation on the relationship between vertical leader empowering behaviors and shared leadership.

This study sheds light on shared leadership literature by examining vertical leader position and expert power as antecedents. We also offer new directions for exploring how power functions by discussing leadership through the lens of power approach-inhibition theory.

This paper aims to present relevant literature review to build up the case pertaining to the impact of traditional leadership in the demarcation of municipal boundaries in South Africa. Municipal boundary demarcation remains a major contentious issue during the process of establishing municipalities. Little or no attention has been paid to the significance of traditional leadership in resolving issues around boundary demarcation between municipalities, hence this paper.

This paper adopted case study design. Data were collected from secondary sources and the contents were analyzed for this research purpose.

This paper put boundary in municipal context as a result of spatial reconfiguration process. It also discussed the impactful roles of traditional leadership as an institution involved in municipal (re)demarcation processes.

This paper focusses on the contemporary roles that traditional leadership is at vantage position to play in the process of municipal boundary demarcation. Therefore, the paper concludes that traditional leadership could resolve issue of ethnicity as a causal factor mitigating the redemarcation of municipal boundaries.

It contributes to existing knowledge by providing information on the roles of traditional leadership that could complement the resolution of the ethnic complexities arising from municipal (re)demarcation processes.

Hydro-viscous drive (HVD) clutches are widely used in equipment requiring soft start, such as fans and pumps, to transmit torque and adjust speed by changing the gap distance between friction pairs. This paper aims to propose a novel two-parameter evaluation method for HVD during the mixed lubrication stage. The objective is to develop an effective model that establishes the relationship between these parameters and the actual surface topography.

In the presented methods, the fractal features of the real manufacturing surface are calculated based on the power spectrum function by the ultra-depth three-dimensional microscope. After that, the hybrid friction model of the friction plate is established based on mixed elasto-hydrodynamic lubrication theory, boundary friction model and fractal theory. Then the torque and load bearing characteristics of the clutch are obtained, and the influences of the surface fractal features are investigated and discussed. Finally, the Weierstrass–Mandelbrot function is adopted for the surface topography characterization and evaluation.

The results indicate that the proposed method exhibits good accuracy, while the speed difference between the friction pair exceeds 2,500 rpm. It is concluded that this paper proposed a way to evaluate the torque and loading capacity of HVD considering the real manufacturing surface topography and is helpful for surface optimization.

The originality and value of this study lie in its development of a novel torque and load bearing capacity evaluation method for HVD in mixed lubrication stage, considering manufacturing surface topography and describing the real manufacturing surface.

The purpose of this paper is to propose a novel improved teaching and learning-based algorithm (TLBO) to enhance its convergence ability and solution accuracy, making it more suitable for solving large-scale optimization issues.

Utilizing multiple cooperation mechanisms in teaching and learning processes, an improved TBLO named CTLBO (collectivism teaching-learning-based optimization) is developed. This algorithm introduces a new preparation phase before the teaching and learning phases and applies multiple teacher–learner cooperation strategies in teaching and learning processes. Applying modularization idea, based on the configuration structure of operators of CTLBO, six variants of CTLBO are constructed. For identifying the best configuration, 30 general benchmark functions are tested. Then, three experiments using CEC2020 (2020 IEEE Conference on Evolutionary Computation)-constrained optimization problems are conducted to compare CTLBO with other algorithms. At last, a large-scale industrial engineering problem is taken as the application case.

Experiment with 30 general unconstrained benchmark functions indicates that CTLBO-c is the best configuration of all variants of CTLBO. Three experiments using CEC2020-constrained optimization problems show that CTLBO is one powerful algorithm for solving large-scale constrained optimization problems. The application case of industrial engineering problem shows that CTLBO and its variant CTLBO-c can effectively solve the large-scale real problem, while the accuracies of TLBO and other meta-heuristic algorithm are far lower than CLTBO and CTLBO-c, revealing that CTLBO and its variants can far outperform other algorithms. CTLBO is an excellent algorithm for solving large-scale complex optimization issues.

The innovation of this paper lies in the improvement strategies in changing the original TLBO with two-phase teaching–learning mechanism to a new algorithm CTLBO with three-phase multiple cooperation teaching–learning mechanism, self-learning mechanism in teaching and group teaching mechanism. CTLBO has important application value in solving large-scale optimization problems.

Let p_[1,r;t] be defined by ∑n=0∞p[1,r;t](n)qn=(E1Er)t, where t is a non-zero rational number, r ≥ 1 is an integer and Er=∏n=0∞(1−qr(n+1)) for |q| < 1. The function p_[1,r;t](n) is the generalisation of the two-colour partition function p_[1,r;−1](n). In this paper, the authors prove some new congruences modulo odd prime ℓ by taking r = 5, 7, 11 and 13, and non-integral rational values of t.

Using q-series expansion/identities, the authors established general congruence modulo prime number for two-colour partition function.

In the paper, the authors study congruence properties of two-colour partition function for fractional values. The authors also give some particular cases as examples.

The partition functions for fractional value is studied in 2019 by Chan and Wang for Ramanujan's general partition function and then extended by Xia and Zhu in 2020. In 2021, Baruah and Das also proved some congruences related to fractional partition functions previously investigated by Chan and Wang. In this sequel, some congruences are proved for two-colour partitions in this paper. The results presented in the paper are original.

This paper aims to discuss the positioning of international organisations (IOs) in the realm of international law. It proposes a more robust approach, arguing IOs have legal obligations akin to states to the extent which could be fulfilled by them. This paper suggests making IOs parties to international treaties like the International Covenant on Civil and Political Rights (ICCPR), International Covenant on Economic Social and Cultural Rights (ICESCR) and Geneva Convention 1949 to codify their international responsibilities. In addition, it proposes amending multilateral treaties to grant IOs membership and create binding legal obligations for them, thereby enhancing the overall legal framework for IOs.

The paper opted for qualitative analytical approach of research by referring to international treaties and scholarly papers.

The authors have evaluated the bindingness of international law on IOs. The authors argue that jus cogens and customary international law are equally binding on IOs. However, treaties could only be binding on IOs to the extent of their consent. The authors have assessed prior violations of IOs. The authors argue that, to prevent such violations by IOs, creating obligations is the first step. Second, amendments are required in the existing international treaties that reflect the foundations of international humanitarian and international human rights law like the Geneva Convention 1949, ICCPR, and ICESCR, to permit IOs to join these treaties, resulting in binding international legal obligations.

The most prominent assertion of this paper is that IOs as subjects of international law are bound by the principles of international law, including treaty law with consent, customary international laws, general principles of law and peremptory norms. To fulfil these obligations, a regime needs to be introduced wherein amendment is made in treaties to make IOs parties to them and structuring the law on responsibility for IOs. Considering the multifaceted nature of IO, the role it performs in contemporary times requires them to be bound by rules of international law just like states. There is a need to settle their position in global governance and give them more teeth to understand and fulfil their duties to ensure smooth functioning in the long run.

The paper fulfils an identified gap in the positioning of IOs under the international law.

President Cyril Ramaphosa, in his 2018 State of the Nation Address, stated that “Thieves who are stealing public funds should be arrested and prosecuted”, and called for lifestyle audits of public-sector employees. The gross misuse of COVID-19 relief funds by public officials indicated the urgent need to execute these audits as an anti-corruption measure. This paper aims to provide a review of the existing state of affairs with regard to the application of lifestyle audits in South Africa.

This paper critically analyses the literature available on the current position of South Africa concerning lifestyle audits in the public sector, based on the mandates of some of the anti-corruption agencies that could be responsible for the conducting and processing of such audits.

South Africa has only recently seen a framework for applying lifestyle audits, developed by the Department of Public Service and Administration. Although these first steps in developing a standard practice are laudable, the practical process of dealing with misconduct and/or criminal matters remains to be seen. It is recommended that South Africa consider a legislative approach to dealing with unlawfully obtained wealth by either criminalising the act of illicit enrichment (per the United Nations Convention Against Corruption) or creating an Unexplained Wealth Order, as seen, for example, in the UK.

South Africa is in dire need of addressing corruption in the public sector. Despite lifestyle audits being called for, the lack of proper implementation is negating any positive outcomes. Therefore, alternative solutions should be investigated.

This paper aims to investigate the law and logic mechanism of management control matching pattern and company strategy aggressiveness under different strategies by textual analysis, based on the empirical data of Chinese A-share listed companies during the period from 2010 to 2018. Additional analyses further investigate the moderating effect of environmental uncertainty and R&D intensity on the relationship between management control matching type and strategy aggressiveness. The conclusion can help relevant departments to develop management control theory and method system with Chinese characteristics and provide theoretical reference for the matching mode of dual control.

This paper uses the text analysis method. The main explanatory variables are analyzed using the computer SQL Server database software through the relevant text of the board of directors report in the company annual report. Other financial data came from the CSMAR database, excluding ST and PT and companies with missing data, and 16,902 samples were finally obtained. This paper conducted statistical analysis through Stata12.

This paper shows that the matching pattern between formal and informal control is divided into three types. They have different impacts on strategy aggressiveness. Specifically, consistent matching type II significantly positively influences the aggressiveness of offensive strategy. Consistent matching type I significantly positively influences the aggressiveness of defensive strategy. Complementary matching type I significantly positively influences the aggressiveness of analytical strategy. Additional analyses find that compared with non-high-tech companies, high-tech companies have more significant influence on the relationship between management control matching pattern and company strategic aggressiveness. And compared with other two “strategy-control” matching patterns, both environmental uncertainty and product innovation have more significant influence on the relationship between consistent matching II and offensive strategy aggressiveness.

To the best of the authors’ knowledge, this paper divides the formal and informal control matching patterns of management control into three categories for the first time. It examines the relationship between the formal and informal control matching of management accounting and the degree of strategy aggressiveness. The conclusion provides new empirical evidence to promote the effective implementation of development strategies for companies. It can help relevant departments to develop management control theory and method systems with Chinese characteristics and provide theoretical references for the matching mode of dual control.